Quasi-unipotent logarithmic Riemann-Hilbert correspondences
Vol. 12 (2005), No. 1, Page 1--66.
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara
Quasi-unipotent logarithmic Riemann-Hilbert correspondences
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Abstract:
We generalize the logarithmic version of the Riemann-Hilbert correspondence defined in [KtNk] to local systems with quasi-unipotent local monodromies by working with a certain Grothendieck topology. We also discuss its behavior with respect to direct images and give applications to nearby cycles and the degeneration of relative log Hodge to log de Rham spectral sequences.
Mathematics Subject Classification (2000): Primary 14F40; Secondary 14F20, 32L10, 32C38, 32G20.
Mathematical Reviews Number: MR2126784
Received: 2003-04-22
